{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,9]],"date-time":"2026-10-09T07:11:38Z","timestamp":1791529898446,"version":"4.3.4"},"reference-count":27,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[2023,4,1]],"date-time":"2023-04-01T00:00:00Z","timestamp":1680307200000},"content-version":"vor","delay-in-days":7760,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-9625396"],"award-info":[{"award-number":["DMS-9625396"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-9970785"],"award-info":[{"award-number":["DMS-9970785"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2002,1,1]]},"abstract":"<jats:title>Summary<\/jats:title><jats:p>The single bootstrap is implemented by using a saddlepoint approximation to determine estimates for the survival and hazard functions of first-passage times in complicated semi-Markov processes. The double bootstrap is also implemented by resampling saddlepoint inversions and provides BCa confidence bands for these functions. Confidence intervals for the mean and variance of first-passage times are easily computed. A new characterization of the asymptotic hazard rate for survival times is presented and leads to an indirect method for constructing its bootstrap confidence interval.<\/jats:p>","DOI":"10.1111\/1467-9868.00323","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:37:03Z","timestamp":1047497823000},"page":"31-49","source":"Crossref","is-referenced-by-count":14,"title":["Bootstrapping Survival Times in Stochastic Systems by Using Saddlepoint Approximations"],"prefix":"10.1093","volume":"64","author":[{"given":"Ronald W.","family":"Butler","sequence":"first","affiliation":[{"name":"Colorado State University , Fort Collins , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Douglas A.","family":"Bronson","sequence":"additional","affiliation":[{"name":"Colorado State University , Fort Collins , USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,3,12]]},"reference":[{"key":"2023040200504761900_","first-page":"447","article-title":"Phase type distributions in survival analysis","volume":"22","author":"Aalen","year":"1995","journal-title":"Scand. 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